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3 years ago

An account earns simple interest.

2 answers:

5 0

If it was compound interest: the equation is 2000(1.035)^4
if it was simple interest: the equation is 2000 * (1.035) * 4

aleksandrvk [35]3 years ago

3 0

$2,295.05 ,interest of $295.05

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Kris is making cookies.

klio [65]

Answer:

Kris can make less than 1 batch of cookies

kris can make exactly 1/2 or 1/3 I think

Step-by-step explanation:

6 0

3 years ago

In the following diagram line CF is parallel to line CD. Segment DE has a length that is 4 inches greater than the length of CD.

Viefleur [7K]

Answer: CD = 10

Identify the given information.
FG = 15
GE = 21
FE = 36
CD = x
DE = x + 4

Form your equation. Due to the Side-Splitter Theorem, FG/GE = CD/DE.
15/21 = x/x + 4

Cross-multiply and solve.
15(x + 4) = 21x Distributive Property
15x + 60 = 21x Subtract 15x from both sides
60 = 6x Divide by 6 to both sides
x = 10 Answer!

7 0

3 years ago

PLEASE HELP!! I found out the monthly rent but i don’t know how to write this equation in slope intercept form!! (i added a phot

Pani-rosa [81]

Your formula for slope intercept is y=mx+b

7 0

3 years ago

a student is reading a fictional book at about 300 words per a minute. convert this rate to words per second

NeTakaya

300words/min
1min= 60 secs
300words/60secs= 5
5words/second is your answer

6 0

3 years ago

Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Murljashka [212]

Answer:

Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

Step-by-step explanation:

We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Endpoints of a diameter A(−6, 3) and B(4, 7)

The general equation of circle is: $(x-h)^2+(y-k)^2=r^2$

Where r is radius and (h,k) is centre of circle.

Finding centre of circle

The midpoint of diameter is centre of circle.

So, finding midpoint of A(−6, 3) and B(4, 7)

The formula used is: $Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

We have x_1=-6, y_1=3, x_2=4, y_2=7

$Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\Midpoint=(\frac{-6+4}{2} ,\frac{3+7}{2} )\\Midpoint=(\frac{-2}{2} ,\frac{10}{2} )\\Midpoint=(-1 ,5)$

So, we get Midpoint (x,y)=(-1,5)

Finding radius of circle

Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(4-(-6))^2+(7-3)^2} \\Distance=\sqrt{(4+6)^2+(7-3)^2} \\Distance=\sqrt{(10)^2+(4)^2} \\Distance=\sqrt{100+16}\\Distance=\sqrt{116}\\Distance = 10.77$

So, Diameter = 10.77

Radius = Diameter/2 = 5.38

Equation of circle

Equation of circle having centre(-1,5) and radius r = 5.38 is:

$(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-5)^2=(5.38)^2\\(x+1)^2+(y-5)^2=28.94$

So, Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

4 0

3 years ago